217261253 has 16 divisors (see below), whose sum is σ = 240698304. Its totient is φ = 194463360.

The previous prime is 217261249. The next prime is 217261283. The reversal of 217261253 is 352162712.

It is a happy number.

217261253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 217261253 - 2² = 217261249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217261283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231401 + ... + 232337.

It is an arithmetic number, because the mean of its divisors is an integer number (15043644).

Almost surely, 2^217261253 is an apocalyptic number.

It is an amenable number.

217261253 is a deficient number, since it is larger than the sum of its proper divisors (23437051).

217261253 is a wasteful number, since it uses less digits than its factorization.

217261253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252.

The product of its digits is 5040, while the sum is 29.

The square root of 217261253 is about 14739.7846999201. The cubic root of 217261253 is about 601.1655611643.

The spelling of 217261253 in words is "two hundred seventeen million, two hundred sixty-one thousand, two hundred fifty-three".